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1301421420 = 22325132324181
BaseRepresentation
bin100110110010010…
…0001110101101100
310100200212001120100
41031210201311230
510131130441140
6333045551100
744151620355
oct11544416554
93320761510
101301421420
116086891a2
12303a15490
13179814c60
14c4bb0d2c
15793c1530
hex4d921d6c

1301421420 has 144 divisors (see below), whose sum is σ = 4436332992. Its totient is φ = 306408960.

The previous prime is 1301421389. The next prime is 1301421421. The reversal of 1301421420 is 241241031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1301421393 and 1301421402.

It is not an unprimeable number, because it can be changed into a prime (1301421421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41730 + ... + 65910.

It is an arithmetic number, because the mean of its divisors is an integer number (30807868).

Almost surely, 21301421420 is an apocalyptic number.

1301421420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301421420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218166496).

1301421420 is an abundant number, since it is smaller than the sum of its proper divisors (3134911572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1301421420 is a wasteful number, since it uses less digits than its factorization.

1301421420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24232 (or 24227 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1301421420 is about 36075.2189182547. The cubic root of 1301421420 is about 1091.7905144990.

Adding to 1301421420 its reverse (241241031), we get a palindrome (1542662451).

The spelling of 1301421420 in words is "one billion, three hundred one million, four hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1495 1794 2070 2340 2691 2990 3588 4140 4485 5382 5980 8970 10764 13455 17940 24181 26910 48362 53820 72543 96724 120905 145086 217629 241810 290172 314353 362715 435258 483620 556163 628706 725430 870516 943059 1088145 1112326 1257412 1450860 1571765 1668489 1886118 2176290 2224652 2780815 2829177 3143530 3336978 3772236 4352580 4715295 5005467 5561630 5658354 6287060 6673956 7230119 8342445 9430590 10010934 11123260 11316708 14145885 14460238 16684890 18861180 20021868 21690357 25027335 28291770 28920476 33369780 36150595 43380714 50054670 56583540 65071071 72301190 86761428 100109340 108451785 130142142 144602380 216903570 260284284 325355355 433807140 650710710 1301421420